Homeomorphism and diffeomorphism groups of non-compact manifolds with the Whitney topology

zbMath1188.22001arXiv0802.0337MaRDI QIDQ3562043

Katsuro Sakai, Taras Banakh, Tatsuhiko Yagasaki, Kotaro Mine

Publication date: 20 May 2010

Full work available at URL: https://arxiv.org/abs/0802.0337

zbMATH Keywords

topological groupFréchet spacetransformation groupdiffeomorphism groupbox producthomeomorphism groupLF-spacesmall box productnon-compact surface\((l_2 \times r^{\infty}\))-manifold\(\sigma \)-compact manifoldthe Whitney topology

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Topology of topological vector spaces (57N17) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Topology of infinite-dimensional manifolds (57N20) Manifolds of mappings (58D15) Infinite-dimensional manifolds (46T05) Manifolds of mappings (46T10)

Related Items (5)

Weak extension theorem for measure-preserving homeomorphisms of noncompact manifolds ⋮ On homeomorphism groups of non-compact surfaces, endowed with the Whitney topology ⋮ Diffeomorphism groups of non-compact manifolds endowed with the Whitney \(C^\infty\)-topology ⋮ Spaces of maps into topological group with the Whitney topology ⋮ Classifying homeomorphism groups of infinite graphs

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